#include <vpVelocityTwistMatrix.h>

Inheritance diagram for vpVelocityTwistMatrix:

Public Member Functions
	vpVelocityTwistMatrix ()
	vpVelocityTwistMatrix (const vpVelocityTwistMatrix &V)
VP_EXPLICIT	vpVelocityTwistMatrix (const vpHomogeneousMatrix &M, bool full=true)
	vpVelocityTwistMatrix (const vpTranslationVector &t, const vpRotationMatrix &R)
	vpVelocityTwistMatrix (const vpTranslationVector &t, const vpThetaUVector &thetau)
	vpVelocityTwistMatrix (double tx, double ty, double tz, double tux, double tuy, double tuz)
VP_EXPLICIT	vpVelocityTwistMatrix (const vpRotationMatrix &R)
VP_EXPLICIT	vpVelocityTwistMatrix (const vpThetaUVector &thetau)
vpVelocityTwistMatrix &	buildFrom (const vpTranslationVector &t, const vpRotationMatrix &R)
vpVelocityTwistMatrix &	buildFrom (const vpTranslationVector &t, const vpThetaUVector &thetau)
vpVelocityTwistMatrix &	buildFrom (const vpHomogeneousMatrix &M, bool full=true)
vpVelocityTwistMatrix &	buildFrom (const vpRotationMatrix &R)
vpVelocityTwistMatrix &	buildFrom (const vpThetaUVector &thetau)
void	extract (vpRotationMatrix &R) const
void	extract (vpTranslationVector &t) const
void	eye ()
vpVelocityTwistMatrix	inverse () const
void	inverse (vpVelocityTwistMatrix &V) const
vpVelocityTwistMatrix	operator* (const vpVelocityTwistMatrix &V) const
vpMatrix	operator* (const vpMatrix &M) const
vpColVector	operator* (const vpColVector &v) const
vpVelocityTwistMatrix &	operator= (const vpVelocityTwistMatrix &V)
int	print (std::ostream &s, unsigned int length, char const *intro=nullptr) const
VP_NORETURN void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify=true)
Inherited functionalities from vpArray2D
unsigned int	getCols () const
double	getMaxValue () const
double	getMinValue () const
unsigned int	getRows () const
unsigned int	size () const
void	resize (unsigned int nrows, unsigned int ncols, bool flagNullify=true, bool recopy_=true)
void	reshape (unsigned int nrows, unsigned int ncols)
void	insert (const vpArray2D< double > &A, unsigned int r, unsigned int c)
bool	operator!= (const vpArray2D< double > &A) const
double *	operator[] (unsigned int i)
vpArray2D< double >	hadamard (const vpArray2D< double > &m) const
vpArray2D< double >	t () const

Static Public Member Functions
static vpArray2D< double >	view (const vpArray2D< double > &A)

Public Attributes
double *	data

Friends
class	vpMatrix

Related Symbols
(Note that these are not member symbols.)
bool	operator== (const vpArray2D< double > &A) const
bool	operator== (const vpArray2D< float > &A) const
void	vpGEMM (const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)
enum	vpGEMMmethod

Deprecated functions
VP_DEPRECATED void	init ()
VP_DEPRECATED void	setIdentity ()

Inherited I/O from vpArray2D with Static Public Member Functions
unsigned int	rowNum
unsigned int	colNum
double **	rowPtrs
unsigned int	dsize
bool	isMemoryOwner
bool	isRowPtrsOwner
static bool	load (const std::string &filename, vpArray2D< double > &A, bool binary=false, char *header=nullptr)
static bool	loadYAML (const std::string &filename, vpArray2D< double > &A, char *header=nullptr)
static bool	save (const std::string &filename, const vpArray2D< double > &A, bool binary=false, const char *header="")
static bool	saveYAML (const std::string &filename, const vpArray2D< double > &A, const char *header="")
static vpArray2D< double >	conv2 (const vpArray2D< double > &M, const vpArray2D< double > &kernel, const std::string &mode)
static bool	isFinite (const vpArray2D< double > &A)

Detailed Description

This class derived from vpArray2D<double> implements the 6 by 6 matrix which transforms velocities from one frame to another. This matrix is also called velocity twist transformation matrix.

The full velocity twist transformation matrix allows to compute the velocity at point a expressed in frame a knowing its velocity at point b expressed in frame b. This matrix is defined as:

$\‍[^a{\bf V}_b = \left[\begin{array}{cc} ^a{\bf R}_b & [^a{\bf t}_b]_\times \; ^a{\bf R}_b\\ {\bf 0}_{3\times 3} & ^a{\bf R}_b \end{array} \right] \‍]$

where $^a{\bf R}_b$ is a rotation matrix and $^a{\bf t}_b$ is a translation vector.

There are different ways to initialize such a full velocity twist matrix. The following example shows how to proceed setting the translation and rotation matrix transformations:

#include <visp3/core/vpVelocityTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpTranslationVector cte(0.1, 0.2, 0.3);
  vpRotationMatrix cRe( {0,  0, -1,
                        0, -1,  0,
                        -1,  0,  0} );
 
  vpVelocityTwistMatrix cVe(cte, cRe);
  std::cout << "cVe:\n" << cVe << std::endl;
}

It produces the following printings:

cVe:
0  -1  -0.2  0.3  0
-1  0  0.1  0  -0.3
-1  0  0  0  -0.1  0.2
0  0  0  0  -1
0  0  0  -1  0
0  0  -1  0  0

When the point where the velocity is expressed doesn't change, the matrix becomes block diagonal. It allows than to compute the velocity at point b expressed in frame a knowing its velocity at point b expressed in frame b :

$\‍[^a{\bf V}_b = \left[\begin{array}{cc} ^a{\bf R}_b & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & ^a{\bf R}_b \end{array} \right] \‍]$

To initialize such a velocity twist matrix where translation is not taken into account you can proceed like in the following code:

#include <visp3/core/vpVelocityTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpRotationMatrix cRe( {0,  0, -1,
                        0, -1,  0,
                        -1,  0,  0} );
 
  vpVelocityTwistMatrix cVe(cRe);
  std::cout << "cVe:\n" << cVe << std::endl;
}

It produces the following printings:

cVe:
0  -1  0  0  0
-1  0  0  0  0
-1  0  0  0  0  0
0  0  0  0  -1
0  0  0  -1  0
0  0  -1  0  0

The code below shows how to convert a velocity skew expressed at the origin of the camera frame into the origin of the fix frame using the full velocity twist matrix.

#include <visp3/core/vpColVector.h>
#include <visp3/core/vpVelocityTwistMatrix.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpVelocityTwistMatrix fVc; // Twist transformation matrix from fix to camera frame
 
  vpHomogeneousMatrix fMc; // Fix to camera frame transformation
  // ... fMc need here to be initialized
 
  fVc.buildFrom(fMc);
 
  vpColVector c_v(6); // Velocity in the camera frame: vx,vy,vz,wx,wy,wz
  // ... c_v should here have an initial value
 
  vpColVector f_v(6); // Velocity in the fix frame: vx,vy,vz,wx,wy,wz
 
  // Compute the velocity in the fix frame
  f_v = fVc * c_v;
}

Examples: manServo4PointsDisplay.cpp, manSimu4Dots.cpp, manSimu4Points.cpp, mbot-apriltag-2D-half-vs.cpp, mbot-apriltag-ibvs.cpp, mbot-apriltag-pbvs.cpp, perfMatrixMultiplication.cpp, servoAfma6FourPoints2DArtVelocity.cpp, servoAfma6Point2DArtVelocity.cpp, servoBebop2.cpp, servoBiclopsPoint2DArtVelocity.cpp, servoFlirPtuIBVS.cpp, servoPioneerPanSegment3D.cpp, servoPioneerPoint2DDepth.cpp, servoPioneerPoint2DDepthWithoutVpServo.cpp, servoPixhawkDroneIBVS.cpp, servoPololuPtuPoint2DJointVelocity.cpp, servoPtu46Point2DArtVelocity.cpp, servoSimu4Points.cpp, servoSimuCylinder.cpp, servoSimuFourPoints2DCamVelocity.cpp, servoSimuFourPoints2DCamVelocityDisplay.cpp, servoSimuFourPoints2DPolarCamVelocityDisplay.cpp, servoSimuPoint2DCamVelocity2.cpp, servoSimuPoint2DCamVelocity3.cpp, servoSimuSphere.cpp, servoViper650FourPoints2DArtVelocityLs_cur.cpp, servoViper850FourPoints2DArtVelocityLs_cur.cpp, servoViper850FourPoints2DArtVelocityLs_des.cpp, servoViper850Point2DArtVelocity-jointAvoidance-basic.cpp, servoViper850Point2DArtVelocity-jointAvoidance-gpa.cpp, servoViper850Point2DArtVelocity-jointAvoidance-large.cpp, servoViper850Point2DArtVelocity.cpp, simulateFourPoints2DCartesianCamVelocity.cpp, simulateFourPoints2DPolarCamVelocity.cpp, testMatrix.cpp, testRobotViper650-frames.cpp, testRobotViper850-frames.cpp, testTwistMatrix.cpp, testVirtuoseAfma6.cpp, testVirtuoseHapticBox.cpp, tutorial-flir-ptu-ibvs.cpp, tutorial-simu-pioneer-continuous-gain-adaptive.cpp, tutorial-simu-pioneer-continuous-gain-constant.cpp, tutorial-simu-pioneer-pan.cpp, and tutorial-simu-pioneer.cpp.

Definition at line 174 of file vpVelocityTwistMatrix.h.

Constructor & Destructor Documentation

◆ vpVelocityTwistMatrix() [1/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix ( )

Initialize a velocity twist transformation matrix as identity.

Definition at line 89 of file vpVelocityTwistMatrix.cpp.

References eye(), and vpArray2D< double >::vpArray2D().

Referenced by buildFrom(), buildFrom(), buildFrom(), buildFrom(), buildFrom(), inverse(), inverse(), operator*(), operator=(), vpMatrix, and vpVelocityTwistMatrix().

◆ vpVelocityTwistMatrix() [2/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix ( const vpVelocityTwistMatrix & V )

Initialize a velocity twist transformation matrix from another velocity twist matrix.

Parameters

V	: Velocity twist matrix used as initializer.

Definition at line 97 of file vpVelocityTwistMatrix.cpp.

References vpArray2D< double >::vpArray2D(), and vpVelocityTwistMatrix().

◆ vpVelocityTwistMatrix() [3/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix	(	const vpHomogeneousMatrix &	M,
		bool	full = true )

Initialize a velocity twist transformation matrix from an homogeneous matrix with

$\‍[ {\bf M} = \left[\begin{array}{cc} {\bf R} & {\bf t} \\ {\bf 0}_{1\times 3} & 1 \end{array} \right] \‍]$

Parameters

M : Homogeneous matrix $\bf M$ used to initialize the velocity twist transformation matrix.

full

: Boolean used to indicate which matrix should be filled.

When set to true, use the complete velocity skew transformation :
$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$
When set to false, use the block diagonal velocity skew transformation:
$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Definition at line 117 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpHomogeneousMatrix::getRotationMatrix(), and vpArray2D< double >::vpArray2D().

◆ vpVelocityTwistMatrix() [4/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix	(	const vpTranslationVector &	t,
		const vpRotationMatrix &	R )

Initialize a velocity twist transformation matrix from a translation vector t and a rotation matrix R.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
R	: Rotation matrix.

Definition at line 177 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpArray2D< double >::vpArray2D().

◆ vpVelocityTwistMatrix() [5/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix	(	const vpTranslationVector &	t,
		const vpThetaUVector &	thetau )

Initialize a velocity twist transformation matrix from a translation vector t and a rotation vector with $\theta u$ parametrization.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
thetau	: $\theta u$ rotation vector used to initialize rotation vector .

Definition at line 141 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpArray2D< double >::vpArray2D().

◆ vpVelocityTwistMatrix() [6/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix	(	double	tx,
		double	ty,
		double	tz,
		double	tux,
		double	tuy,
		double	tuz )

Initialize a velocity twist transformation matrix from a translation vector ${\bf t}=(t_x, t_y, t_z)^T$ and a rotation vector with $\theta {\bf u}=(\theta u_x, \theta u_y, \theta u_z)^T$ parametrization.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

[in]	tx	: Value along X-axis of the translation vector in meters.
[in]	ty	: Value along Y-axis of the translation vector in meters.
[in]	tz	: Value along Z-axis of the translation vector in meters.
	tux	: Value along X-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .
	tuy	: Value along Y-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .
	tuz	: Value along Z-axis of the $\theta {\bf u}$ rotation vector expressed in radians and used to initialize the ratational matrix .

Definition at line 217 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpArray2D< double >::vpArray2D().

◆ vpVelocityTwistMatrix() [7/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix ( const vpRotationMatrix & R )

Initialize a velocity twist transformation matrix from a rotation matrix R.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

R	: Rotation matrix.

Definition at line 194 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), and vpArray2D< double >::vpArray2D().

◆ vpVelocityTwistMatrix() [8/8]

vpVelocityTwistMatrix::vpVelocityTwistMatrix ( const vpThetaUVector & thetau )

Initialize a velocity twist transformation matrix from a rotation vector with $\theta u$ parametrization.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3}\\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

thetau : $\theta u$ rotation vector used to initialize rotation vector .

Definition at line 159 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), and vpArray2D< double >::vpArray2D().

Member Function Documentation

◆ buildFrom() [1/5]

vpVelocityTwistMatrix & vpVelocityTwistMatrix::buildFrom	(	const vpHomogeneousMatrix &	M,
		bool	full = true )

Initialize a velocity twist transformation matrix from an homogeneous matrix with

$\‍[ {\bf M} = \left[\begin{array}{cc} {\bf R} & {\bf t} \\ {\bf 0}_{1\times 3} & 1 \end{array} \right] \‍]$

Parameters

M : Homogeneous matrix used to initialize the velocity twist transformation matrix.

full

: Boolean used to indicate which matrix should be filled.

When set to true, use the complete velocity skew transformation :
$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$
When set to false, use the block diagonal velocity skew transformation:
$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Definition at line 459 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpHomogeneousMatrix::getRotationMatrix(), vpHomogeneousMatrix::getTranslationVector(), and vpVelocityTwistMatrix().

◆ buildFrom() [2/5]

vpVelocityTwistMatrix & vpVelocityTwistMatrix::buildFrom ( const vpRotationMatrix & R )

Build a velocity twist transformation block diagonal matrix from a rotation matrix R.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

R	: Rotation matrix.

Definition at line 357 of file vpVelocityTwistMatrix.cpp.

References vpVelocityTwistMatrix().

◆ buildFrom() [3/5]

vpVelocityTwistMatrix & vpVelocityTwistMatrix::buildFrom ( const vpThetaUVector & thetau )

Initialize a velocity twist transformation matrix from a rotation vector with $\theta u$ parametrization.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & {\bf 0}_{3\times 3} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

thetau : $\theta {\bf u}$ rotation vector used to create rotation matrix ${\bf R}$ .

Definition at line 435 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), and vpVelocityTwistMatrix().

◆ buildFrom() [4/5]

vpVelocityTwistMatrix & vpVelocityTwistMatrix::buildFrom	(	const vpTranslationVector &	t,
		const vpRotationMatrix &	R )

Build a velocity twist transformation matrix from a translation vector t and a rotation matrix R.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
R	: Rotation matrix.

Definition at line 385 of file vpVelocityTwistMatrix.cpp.

References vpArray2D< double >::t(), vpMatrix, and vpVelocityTwistMatrix().

Referenced by buildFrom(), buildFrom(), buildFrom(), vpMbDepthDenseTracker::computeVVS(), vpMbDepthNormalTracker::computeVVS(), vpMbEdgeKltTracker::computeVVS(), vpMbEdgeTracker::computeVVS(), vpMbGenericTracker::computeVVS(), vpMbKltTracker::computeVVS(), vpMbEdgeTracker::computeVVSFirstPhasePoseEstimation(), vpMbTracker::computeVVSPoseEstimation(), vpAfma6::get_cVe(), vpBiclops::get_cVe(), vpPtu46::get_cVe(), vpRobotAfma6::get_cVe(), vpRobotBiclops::get_cVe(), vpRobotFlirPtu::get_cVe(), vpRobotPtu46::get_cVe(), vpRobotViper650::get_cVe(), vpRobotViper850::get_cVe(), vpSimulatorAfma6::get_cVe(), vpSimulatorViper850::get_cVe(), vpUnicycle::get_cVe(), vpViper::get_cVe(), inverse(), vpMatrix, vpVelocityTwistMatrix(), vpVelocityTwistMatrix(), vpVelocityTwistMatrix(), vpVelocityTwistMatrix(), vpVelocityTwistMatrix(), and vpVelocityTwistMatrix().

◆ buildFrom() [5/5]

vpVelocityTwistMatrix & vpVelocityTwistMatrix::buildFrom	(	const vpTranslationVector &	t,
		const vpThetaUVector &	thetau )

Initialize a velocity twist transformation matrix from a translation vector t and a rotation vector with $\theta u$ parametrization.

$\‍[ {\bf V} = \left[\begin{array}{cc} {\bf R} & [{\bf t}]_\times \; {\bf R} \\ {\bf 0}_{3\times 3} & {\bf R} \end{array} \right] \‍]$

Parameters

t	: Translation vector.
thetau	: $\theta {\bf u}$ rotation vector used to create rotation matrix ${\bf R}$ .

Definition at line 417 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), vpArray2D< double >::t(), and vpVelocityTwistMatrix().

◆ conv2()

vpArray2D< double > vpArray2D< double >::conv2	(	const vpArray2D< double > &	M,
		const vpArray2D< double > &	kernel,
		const std::string &	mode )

staticinherited

Perform a 2D convolution similar to Matlab conv2 function: $M \star kernel$ .

Parameters

M	: First matrix.
kernel	: Second matrix.
mode	: Convolution mode: "full" (default), "same", "valid".

Convolution mode: full, same, valid (image credit: Theano doc).

Note: This is a very basic implementation that does not use FFT.

Definition at line 1142 of file vpArray2D.h.

References vpArray2D().

◆ extract() [1/2]

void vpVelocityTwistMatrix::extract ( vpRotationMatrix & R ) const

Extract the rotation matrix from the velocity twist matrix.

Definition at line 491 of file vpVelocityTwistMatrix.cpp.

Referenced by extract(), inverse(), and vpMatrix.

◆ extract() [2/2]

void vpVelocityTwistMatrix::extract ( vpTranslationVector & t ) const

Extract the translation vector from the velocity twist matrix.

Definition at line 502 of file vpVelocityTwistMatrix.cpp.

References extract(), and vpMatrix.

◆ eye()

void vpVelocityTwistMatrix::eye ( )

Initialize a 6x6 velocity twist matrix as identity.

Definition at line 71 of file vpVelocityTwistMatrix.cpp.

Referenced by setIdentity(), vpMatrix, and vpVelocityTwistMatrix().

◆ getCols()

unsigned int vpArray2D< double >::getCols ( ) const

inlineinherited

Return the number of columns of the 2D array.

See also: getRows(), size()

Examples: catchLuminanceMapping.cpp, catchMatrixCholesky.cpp, catchPoseVector.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, servoViper850Point2DArtVelocity-jointAvoidance-basic.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixConvolution.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 423 of file vpArray2D.h.

Referenced by vpMatrix::choleskyByEigen3(), vpMatrix::choleskyByLapack(), vpMatrix::choleskyByOpenCV(), vpMatrix::cond(), vpMatrix::cppPrint(), vpRowVector::cppPrint(), vpMatrix::csvPrint(), vpRowVector::csvPrint(), vpMatrix::detByLUEigen3(), vpMatrix::extract(), vpHomogeneousMatrix::getCol(), vpMatrix::getCol(), vpRotationMatrix::getCol(), vpMatrix::inducedL2Norm(), vpMatrix::inverseByLUEigen3(), vpMatrix::inverseByQRLapack(), vpRotationMatrix::isARotationMatrix(), vpMatrix::kernel(), vpMatrix::maplePrint(), vpRowVector::maplePrint(), vpMatrix::matlabPrint(), vpRowVector::matlabPrint(), vpMatrix::nullSpace(), vpMatrix::nullSpace(), vpRowVector::operator*(), vpRowVector::operator+(), vpRowVector::operator+=(), vpRowVector::operator-(), vpRowVector::operator-=(), vpForceTwistMatrix::print(), vpMatrix::print(), vpRowVector::print(), vpVelocityTwistMatrix::print(), vpMatrix::row(), vpMatrix::svdEigen3(), vpMatrix::svdLapack(), vpMatrix::svdOpenCV(), vpRowVector::vpRowVector(), and vpRowVector::vpRowVector().

◆ getMaxValue()

double vpArray2D< double >::getMaxValue ( ) const

inherited

Return the array max value.

Examples: servoMomentImage.cpp.

Definition at line 425 of file vpArray2D.h.

◆ getMinValue()

double vpArray2D< double >::getMinValue ( ) const

inherited

Return the array min value.

Examples: servoMomentImage.cpp.

Definition at line 427 of file vpArray2D.h.

◆ getRows()

unsigned int vpArray2D< double >::getRows ( ) const

inlineinherited

Return the number of rows of the 2D array.

See also: getCols(), size()

Examples: catchLuminanceMapping.cpp, catchMatrixCholesky.cpp, catchParticleFilter.cpp, catchPoseVector.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixConvolution.cpp, testMatrixDeterminant.cpp, testMatrixInitialization.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 433 of file vpArray2D.h.

◆ hadamard()

vpArray2D< double > vpArray2D< double >::hadamard ( const vpArray2D< double > & m ) const

inherited

Compute the Hadamard product (element wise matrix multiplication).

Parameters

m	: Second matrix;

Returns: m1.hadamard(m2) The Hadamard product : $m1 \circ m2 = (m1 \circ m2)_{i,j} = (m1)_{i,j} (m2)_{i,j}$

Definition at line 732 of file vpArray2D.h.

References vpArray2D().

◆ init()

VP_DEPRECATED void vpVelocityTwistMatrix::init ( )

inline

Deprecated: Provided only for compat with previous releases. This function does nothing.

Definition at line 240 of file vpVelocityTwistMatrix.h.

◆ insert()

void vpArray2D< double >::insert	(	const vpArray2D< double > &	A,
		unsigned int	r,
		unsigned int	c )

inlineinherited

Insert array A at the given position in the current array.

Warning: Throw vpException::dimensionError if the dimensions of the matrices do not allow the operation.

Parameters

A	: The array to insert.
r	: The index of the row to begin to insert data.
c	: The index of the column to begin to insert data.

Definition at line 586 of file vpArray2D.h.

◆ inverse() [1/2]

vpVelocityTwistMatrix vpVelocityTwistMatrix::inverse ( ) const

Invert the velocity twist matrix.

Definition at line 472 of file vpVelocityTwistMatrix.cpp.

References buildFrom(), extract(), and vpVelocityTwistMatrix().

Referenced by inverse(), and vpMatrix.

◆ inverse() [2/2]

void vpVelocityTwistMatrix::inverse ( vpVelocityTwistMatrix & V ) const

Invert the velocity twist matrix.

Definition at line 488 of file vpVelocityTwistMatrix.cpp.

References inverse(), and vpVelocityTwistMatrix().

◆ isFinite()

bool vpArray2D< double >::isFinite ( const vpArray2D< double > & A )

inlinestaticinherited

Definition at line 1188 of file vpArray2D.h.

◆ load()

bool vpArray2D< double >::load	(	const std::string &	filename,
		vpArray2D< double > &	A,
		bool	binary = false,
		char *	header = nullptr )

inlinestaticinherited

Load a matrix from a file.

Parameters

filename	: Absolute file name.
A	: Array to be loaded
binary	: If true the matrix is loaded from a binary file, else from a text file.
header	: Header of the file is loaded in this parameter.

Returns: Returns true if success.

See also: save()

Definition at line 760 of file vpArray2D.h.

◆ loadYAML()

bool vpArray2D< double >::loadYAML	(	const std::string &	filename,
		vpArray2D< double > &	A,
		char *	header = nullptr )

inlinestaticinherited

Load an array from a YAML-formatted file.

Parameters

filename	: absolute file name.
A	: array to be loaded from the file.
header	: header of the file is loaded in this parameter.

Returns: Returns true on success.

See also: saveYAML()

Examples: servoFlirPtuIBVS.cpp, servoFrankaIBVS-EyeToHand-Lcur_cVe_eJe.cpp, servoFrankaIBVS-EyeToHand-Lcur_cVf_fVe_eJe.cpp, servoFrankaIBVS-EyeToHand-Ldes_cVf_fVe_eJe.cpp, servoFrankaIBVS.cpp, servoFrankaPBVS.cpp, servoUniversalRobotsIBVS.cpp, servoUniversalRobotsPBVS.cpp, tutorial-flir-ptu-ibvs.cpp, tutorial-hsv-segmentation-pcl-viewer.cpp, tutorial-hsv-segmentation-pcl.cpp, tutorial-hsv-segmentation.cpp, visp-compute-eye-in-hand-calibration.cpp, and visp-compute-eye-to-hand-calibration.cpp.

Definition at line 874 of file vpArray2D.h.

◆ operator!=()

bool operator!= ( const vpArray2D< double > & A ) const

inherited

Not equal to comparison operator of a 2D array.

Definition at line 612 of file vpArray2D.h.

References vpArray2D().

◆ operator*() [1/3]

vpColVector vpVelocityTwistMatrix::operator* ( const vpColVector & v ) const

Operator that allows to multiply a twist transformation matrix by a 6-dimension column vector.

Parameters

v	: Velocity skew vector.

Exceptions

vpException::dimensionError If v is not a 6 dimension column vector.

Definition at line 323 of file vpVelocityTwistMatrix.cpp.

References vpException::dimensionError, and vpArray2D< double >::rowPtrs.

◆ operator*() [2/3]

vpMatrix vpVelocityTwistMatrix::operator* ( const vpMatrix & M ) const

Operator that allows to multiply a velocity twist transformation matrix by a matrix.

As shown in the example below, this operator can be used to compute the corresponding camera velocity skew from the joint velocities knowing the robot jacobian.

#include <visp3/core/vpColVector.h>
#include <visp3/core/vpConfig.h>
#include <visp3/core/vpVelocityTwistMatrix.h>
#include <visp3/robot/vpSimulatorCamera.h>
 
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
 
int main()
{
  vpSimulatorCamera robot;
 
  vpColVector q_vel(6); // Joint velocity on the 6 joints
  // ... q_vel need here to be initialized
 
  vpColVector c_v(6); // Velocity in the camera frame: vx,vy,vz,wx,wy,wz
 
  vpVelocityTwistMatrix cVe;  // Velocity skew transformation from camera frame to end-effector
  robot.get_cVe(cVe);
 
  vpMatrix eJe;       // Robot jacobian
  robot.get_eJe(eJe);
 
  // Compute the velocity in the camera frame
  c_v = cVe * eJe * q_vel;
 
  return 0;
}

Exceptions

vpException::dimensionError If M is not a 6 rows dimension matrix.

Definition at line 290 of file vpVelocityTwistMatrix.cpp.

References vpException::dimensionError, vpArray2D< Type >::getCols(), vpArray2D< Type >::getRows(), vpArray2D< double >::rowPtrs, and vpMatrix.

◆ operator*() [3/3]

vpVelocityTwistMatrix vpVelocityTwistMatrix::operator* ( const vpVelocityTwistMatrix & V ) const

Operator that allows to multiply a velocity twist transformation matrix by an other velocity twist transformation matrix.

Definition at line 231 of file vpVelocityTwistMatrix.cpp.

References vpArray2D< Type >::rowPtrs, vpArray2D< double >::rowPtrs, and vpVelocityTwistMatrix().

Referenced by vpMatrix.

◆ operator=()

vpVelocityTwistMatrix & vpVelocityTwistMatrix::operator= ( const vpVelocityTwistMatrix & V )

Copy operator that allow to set a velocity twist matrix from an other one.

Parameters

V	: Velocity twist matrix to copy.

Definition at line 55 of file vpVelocityTwistMatrix.cpp.

References vpArray2D< Type >::rowPtrs, vpArray2D< double >::rowPtrs, and vpVelocityTwistMatrix().

◆ operator[]()

double * vpArray2D< double >::operator[] ( unsigned int i )

inlineinherited

Set element $A_{ij} = x$ using A[i][j] = x.

Definition at line 696 of file vpArray2D.h.

◆ print()

int vpVelocityTwistMatrix::print	(	std::ostream &	s,
		unsigned int	length,
		char const *	intro = nullptr ) const

Pretty print a velocity twist matrix. The data are tabulated. The common widths before and after the decimal point are set with respect to the parameter maxlen.

Parameters

s	Stream used for the printing.
length	The suggested width of each matrix element. The actual width grows in order to accommodate the whole integral part, and shrinks if the whole extent is not needed for all the numbers.
intro	The introduction which is printed before the matrix. Can be set to zero (or omitted), in which case the introduction is not printed.

Returns: Returns the common total width for all matrix elements

See also: std::ostream &operator<<(std::ostream &s, const vpArray2D<Type> &A)

Examples: testTwistMatrix.cpp.

Definition at line 542 of file vpVelocityTwistMatrix.cpp.

References vpArray2D< double >::getCols(), vpArray2D< double >::getRows(), vpMath::maximum(), and vpArray2D< double >::size().

Referenced by vpMatrix.

◆ reshape()

void vpArray2D< double >::reshape	(	unsigned int	nrows,
		unsigned int	ncols )

inlineinherited

Examples: testMatrixInitialization.cpp.

Definition at line 545 of file vpArray2D.h.

◆ resize() [1/2]

void vpArray2D< double >::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify = true,
		bool	recopy_ = true )

inlineinherited

Set the size of the array and initialize all the values to zero.

Parameters

nrows	: number of rows.
ncols	: number of column.
flagNullify	: if true, then the array is re-initialized to 0 after resize. If false, the initial values from the common part of the array (common part between old and new version of the array) are kept. Default value is true.
recopy_	: if true, will perform an explicit recopy of the old data.

Examples: catchParticleFilter.cpp, perfMatrixMultiplication.cpp, perfMatrixTranspose.cpp, testMatrix.cpp, testMatrixConditionNumber.cpp, testMatrixDeterminant.cpp, testMatrixInverse.cpp, testMatrixPseudoInverse.cpp, and testSvd.cpp.

Definition at line 448 of file vpArray2D.h.

Referenced by vpMatrix::diag(), vpMatrix::eye(), vpMatrix::init(), vpMatrix::operator,(), vpMatrix::operator<<(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::operator=(), vpMatrix::stack(), vpMatrix::stack(), vpMatrix::stack(), vpMatrix::svdEigen3(), and vpMatrix::svdOpenCV().

◆ resize() [2/2]

VP_NORETURN void vpVelocityTwistMatrix::resize	(	unsigned int	nrows,
		unsigned int	ncols,
		bool	flagNullify = true )

inline

This function is not applicable to a velocity twist matrix that is always a 6-by-6 matrix.

Exceptions

vpException::fatalError When this function is called.

Definition at line 223 of file vpVelocityTwistMatrix.h.

References vpException::fatalError.

◆ save()

bool vpArray2D< double >::save	(	const std::string &	filename,
		const vpArray2D< double > &	A,
		bool	binary = false,
		const char *	header = "" )

inlinestaticinherited

Save a matrix to a file.

Parameters

filename	: Absolute file name.
A	: Array to be saved.
binary	: If true the matrix is saved in a binary file, else a text file.
header	: Optional line that will be saved at the beginning of the file.

Returns: Returns true if success.

Warning : If you save the matrix as in a text file the precision is less than if you save it in a binary file.

See also: load()

Definition at line 965 of file vpArray2D.h.

◆ saveYAML()

bool vpArray2D< double >::saveYAML	(	const std::string &	filename,
		const vpArray2D< double > &	A,
		const char *	header = "" )

inlinestaticinherited

Save an array in a YAML-formatted file.

Parameters

filename	: absolute file name.
A	: array to be saved in the file.
header	: optional lines that will be saved at the beginning of the file. Should be YAML-formatted and will adapt to the indentation if any.

Returns: Returns true if success.

Here is an example of outputs.

vpArray2D<double> M(3,4);
vpArray2D::saveYAML("matrix.yml", M, "example: a YAML-formatted header");
vpArray2D::saveYAML("matrixIndent.yml", M, "example:\n    - a YAML-formatted \
header\n    - with inner indentation");

Content of matrix.yml:

example: a YAML-formatted header
rows: 3
cols: 4
data:
  - [0, 0, 0, 0]
  - [0, 0, 0, 0]
  - [0, 0, 0, 0]

Content of matrixIndent.yml:

example:
    - a YAML-formatted header
    - with inner indentation
rows: 3
cols: 4
data:
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]
    - [0, 0, 0, 0]

See also: loadYAML()

Examples: visp-acquire-franka-calib-data.cpp, and visp-acquire-universal-robots-calib-data.cpp.

Definition at line 1061 of file vpArray2D.h.

◆ setIdentity()

void vpVelocityTwistMatrix::setIdentity ( )

Deprecated: You should rather use eye().

Deprecated: You should rather use eye().

Set the velocity twist transformation matrix to identity.

Definition at line 641 of file vpVelocityTwistMatrix.cpp.

References eye().

◆ size()

unsigned int vpArray2D< double >::size ( ) const

inlineinherited

Return the number of elements of the 2D array.

Examples: catchLuminanceMapping.cpp, catchParticleFilter.cpp, catchPoseVector.cpp, catchRotation.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixInitialization.cpp, testRobotViper650-frames.cpp, testRobotViper850-frames.cpp, testTukeyEstimator.cpp, testUniversalRobotsGetData.cpp, tutorial-ibvs-4pts-wireframe-robot-afma6.cpp, tutorial-ibvs-4pts-wireframe-robot-viper.cpp, tutorial-pf.cpp, tutorial-ukf.cpp, ukf-nonlinear-complex-example.cpp, and ukf-nonlinear-example.cpp.

Definition at line 435 of file vpArray2D.h.

Referenced by vpHomogeneousMatrix::isValid(), vpColVector::operator*(), vpHomogeneousMatrix::operator,(), vpRotationMatrix::operator,(), vpRotationVector::operator,(), vpTranslationVector::operator,(), vpQuaternionVector::operator=(), vpRxyzVector::operator=(), vpRzyxVector::operator=(), vpRzyzVector::operator=(), vpThetaUVector::operator=(), vpThetaUVector::operator=(), vpTranslationVector::operator=(), vpForceTwistMatrix::print(), vpMatrix::print(), vpVelocityTwistMatrix::print(), vpMatrix::stack(), vpColVector::toStdVector(), vpPoseVector::toStdVector(), vpRotationVector::toStdVector(), vpRowVector::toStdVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpColVector::vpColVector(), vpRowVector::vpRowVector(), and vpRowVector::vpRowVector().

◆ t()

vpArray2D< double > vpArray2D< double >::t ( ) const

inherited

Compute the transpose of the array.

Returns: vpArray2D<Type> C = A^T

Examples: visp-compute-eye-in-hand-calibration.cpp, and visp-compute-eye-to-hand-calibration.cpp.

Definition at line 739 of file vpArray2D.h.

References vpArray2D().

◆ view()

vpArray2D< double > vpArray2D< double >::view ( const vpArray2D< double > & A )

inlinestaticinherited

Creates a view of the Matrix A. A view shares the same underlying memory as the original array. It can be written into, modifying the original data. However, the array cannot be resized.

When you use this method, it is your responsibility to ensure that the lifespan of the view does not exceed the lifespan of the original array.

Parameters

A	the array to view

Returns: vpArray2D<T>

Definition at line 324 of file vpArray2D.h.

◆ operator==() [1/2]

bool operator== ( const vpArray2D< double > & A ) const

Definition at line 1420 of file vpArray2D.h.

References vpArray2D< Type >::colNum, colNum, vpArray2D< Type >::data, data, vpArray2D< Type >::rowNum, rowNum, vpArray2D< Type >::size(), and vpArray2D().

◆ operator==() [2/2]

bool operator== ( const vpArray2D< float > & A ) const

Definition at line 1439 of file vpArray2D.h.

References vpArray2D< Type >::colNum, colNum, vpArray2D< Type >::data, data, vpArray2D< Type >::rowNum, rowNum, vpArray2D< Type >::size(), and vpArray2D().

◆ vpGEMM()

void vpGEMM	(	const vpArray2D< double > &	A,
		const vpArray2D< double > &	B,
		const double &	alpha,
		const vpArray2D< double > &	C,
		const double &	beta,
		vpArray2D< double > &	D,
		const unsigned int &	ops = 0 )

This function performs generalized matrix multiplication: D = alpha*op(A)*op(B) + beta*op(C), where op(X) is X or X^T. Operation on A, B and C matrices is described by enumeration vpGEMMmethod().

For example, to compute D = alpha*A^T*B^T+beta*C we need to call :

vpGEMM(A, B, alpha, C, beta, D, VP_GEMM_A_T + VP_GEMM_B_T);

vpArray2D< double >::vpGEMM

void vpGEMM(const vpArray2D< double > &A, const vpArray2D< double > &B, const double &alpha, const vpArray2D< double > &C, const double &beta, vpArray2D< double > &D, const unsigned int &ops=0)

Definition vpGEMM.h:414

If C is not used, vpGEMM must be called using an empty array null. Thus to compute D = alpha*A^T*B, we have to call:

vpGEMM(A, B, alpha, null, 0, D, VP_GEMM_B_T);

Exceptions

vpException::incorrectMatrixSizeError if the sizes of the matrices do not allow the operations.

Parameters

A	: An array that could be a vpMatrix.
B	: An array that could be a vpMatrix.
alpha	: A scalar.
C	: An array that could be a vpMatrix.
beta	: A scalar.
D	: The resulting array that could be a vpMatrix.
ops	: A scalar describing operation applied on the matrices. Possible values are the one defined in vpGEMMmethod(): VP_GEMM_A_T, VP_GEMM_B_T, VP_GEMM_C_T.

Definition at line 414 of file vpGEMM.h.

References vpException::functionNotImplementedError, and vpArray2D().

◆ vpGEMMmethod

enum vpGEMMmethod

Enumeration of the operations applied on matrices in vpGEMM() function.

Operations are :

VP_GEMM_A_T to use the transpose matrix of A instead of the matrix A
VP_GEMM_B_T to use the transpose matrix of B instead of the matrix B
VP_GEMM_C_T to use the transpose matrix of C instead of the matrix C

Definition at line 53 of file vpGEMM.h.

◆ vpMatrix

friend class vpMatrix

friend

Definition at line 176 of file vpVelocityTwistMatrix.h.

References buildFrom(), extract(), eye(), inverse(), operator*(), print(), vpArray2D< double >::t(), vpMatrix, and vpVelocityTwistMatrix().

Referenced by buildFrom(), extract(), operator*(), and vpMatrix.

Member Data Documentation

◆ colNum

unsigned int vpArray2D< double >::colNum

protectedinherited

Number of columns in the array.

Definition at line 1203 of file vpArray2D.h.

◆ data

double* vpArray2D< double >::data

inherited

Address of the first element of the data array.

Examples: catchQuaternion.cpp, catchRotation.cpp, perfMatrixMultiplication.cpp, testDisplacement.cpp, testMatrix.cpp, testMatrixInitialization.cpp, testUniversalRobotsGetData.cpp, and tutorial-bridge-opencv-matrix.cpp.

Definition at line 149 of file vpArray2D.h.

◆ dsize

unsigned int vpArray2D< double >::dsize

protectedinherited

Current array size (rowNum * colNum).

Definition at line 1207 of file vpArray2D.h.

◆ isMemoryOwner

bool vpArray2D< double >::isMemoryOwner

protectedinherited

Whether this array owns the memory it points to.

Definition at line 1209 of file vpArray2D.h.

Referenced by vpColVector::clear(), and vpRowVector::clear().

◆ isRowPtrsOwner

bool vpArray2D< double >::isRowPtrsOwner

protectedinherited

Whether this array owns the row pointers.

Definition at line 1211 of file vpArray2D.h.

◆ rowNum

unsigned int vpArray2D< double >::rowNum

protectedinherited

Number of rows in the array.

Definition at line 1201 of file vpArray2D.h.

◆ rowPtrs

double** vpArray2D< double >::rowPtrs

protectedinherited

Address of the first element of each rows.

Definition at line 1205 of file vpArray2D.h.

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Related Symbols

Deprecated functions

Inherited I/O from vpArray2D with Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ vpVelocityTwistMatrix() [1/8]

◆ vpVelocityTwistMatrix() [2/8]

◆ vpVelocityTwistMatrix() [3/8]

◆ vpVelocityTwistMatrix() [4/8]

◆ vpVelocityTwistMatrix() [5/8]

◆ vpVelocityTwistMatrix() [6/8]

◆ vpVelocityTwistMatrix() [7/8]

◆ vpVelocityTwistMatrix() [8/8]

Member Function Documentation

◆ buildFrom() [1/5]

◆ buildFrom() [2/5]

◆ buildFrom() [3/5]

◆ buildFrom() [4/5]

◆ buildFrom() [5/5]

◆ conv2()

◆ extract() [1/2]

◆ extract() [2/2]

◆ eye()

◆ getCols()

◆ getMaxValue()

◆ getMinValue()

◆ getRows()

◆ hadamard()

◆ init()

◆ insert()

◆ inverse() [1/2]

◆ inverse() [2/2]

◆ isFinite()

◆ load()

◆ loadYAML()

◆ operator!=()

◆ operator*() [1/3]

◆ operator*() [2/3]

◆ operator*() [3/3]

◆ operator=()

◆ operator[]()

◆ print()

◆ reshape()

◆ resize() [1/2]

◆ resize() [2/2]

◆ save()

◆ saveYAML()

◆ setIdentity()

◆ size()

◆ t()

◆ view()

Friends And Related Symbol Documentation

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ vpGEMM()

◆ vpGEMMmethod

◆ vpMatrix

Member Data Documentation

◆ colNum

◆ data

◆ dsize

◆ isMemoryOwner

◆ isRowPtrsOwner

◆ rowNum

◆ rowPtrs